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Finding the Fourth Proportional to 9,700.56, 14,551.56 and 2,775

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Solution

The fourth proportional to 9,700.56, 14,551.56 and 2,775 is: 4,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.56 : 14,551.56 = 2,775 : x
  2. Step 2: Convert to fraction form
    9,700.56/14,551.56 = 2,775/x
  3. Step 3: Cross multiply
    9,700.56x = 14,551.56 × 2,775
  4. Step 4: Simplify right side
    9,700.56x = 40,380,579
  5. Step 5: Solve for x
    x = 40,380,579/9,700.56
  6. Step 6: Final answer
    x = 4,162.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.